Questions: Max is collecting baseball cards. He has 65 that his aunt gave him for his birthday, and he buys 20 more each week. The total number y of cards that Max has after x weeks is given by which of the following equations? y=65x+20 y=x+20 y=20x+65 y=85x

Max is collecting baseball cards. He has 65 that his aunt gave him for his birthday, and he buys 20 more each week. The total number y of cards that Max has after x weeks is given by which of the following equations?
y=65x+20
y=x+20
y=20x+65
y=85x

Transcript text: Max is collecting baseball cards. He has 65 that his aunt gave him for his birthday, and he buys 20 more each week. The total number $y$ of cards that Max has after $x$ weeks is given by which of the following equations? $y=65 x+20$ $y=x+20$ $y=20 x+65$ $y=85 x$

Solution

Solution Steps

To determine the total number of baseball cards Max has after $ x $ weeks, we need to account for the initial number of cards and the number of cards he buys each week. Max starts with 65 cards and buys 20 more each week. Therefore, the total number of cards $ y $ after $ x $ weeks can be represented by the equation $ y = 20x + 65 $.

Step 1: Define the Problem

Max starts with $ 65 $ baseball cards and buys $ 20 $ additional cards each week. We need to find the total number of cards $ y $ after $ x $ weeks.

Step 2: Formulate the Equation

The total number of cards can be expressed as: \[ y = 20x + 65 \] where $ y $ is the total number of cards and $ x $ is the number of weeks.

Step 3: Calculate Total Cards After 5 Weeks

Substituting $ x = 5 $ into the equation: \[ y = 20(5) + 65 = 100 + 65 = 165 \]